Answer:
Step-by-step explanation:
Median is the dot near the middle of each box. Since median of team one is to the left of that of team 2,
Team 1 has a lesser median than Team 2.
InterQuartile Range (IQR) is the length of the box, so
Team 1 has a bigger IQR than Team 2.
See diagram.
Answer:
\W = Width
L = Length
Draw rectangle W x L
Divde rectangle into thirds with two lines parallel with width.
Outside fance perimeter = 2 W + 2 L
Inside fance length = 2 W
Total cost :
( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $
( 2 W + 2 L ) * 10 + 2 W * 20 = 400
20 W + 20 L + 40 W = 400
60 W + 20 L = 400 Divide both sides by 20
60 W / 20 + 20 L / 20 = 400 / 20
3 W + L = 20 Subtract 3 W to both sides
3 W + L - 3 W = 20 - 3 W
L = 20 - 3W
Area :
A = W * L =
W * ( 20 - 3W ) =
20 W - 3 W ^ 2
First derivation :
dA / dW = 20 - 3 * 2 * W = 20 - 6 W
If first derivation = 0 a function has a local maximum or a local minimum.
dA / dW = 0
20 - 6 W = 0 Add 6 W to both sides
20 - 6 W + 6 W = 0 + 6 W
20 = 6 W Divide both sides by 6
20 / 6 = 6 W / 6
20 / 6 = W
2 * 10 / ( 2 * 3 ) = W
10 / 3 = W
W = 10 / 3 ft
If second derivative < 0 then function has a maximum.
If second derivative > 0 then function has a mimum.
In this case second derivative = - 6
Second derivative < 0 so function has a maximum.
For W = 10 / 3 ft
L = 20 - 3W = 20 - 3 * 10 / 3 = 20 - 10 = 10 ft
Amax = W * L = 10 / 3 * 10 = 100 / 3 ft ^2
The formula of a distance between two points:

We have two points A(-5, 2) and B(-5, 8). Substitute:

d is a diameter of a circle because d = 2r = 2(3).
The center of a circle is in midpoint of AB.
The formula of a midpoint:

Substitute:

Answer: (-5, 5).
Easily move nx to left and a to the right side
mx-nx=-2-a
take x common factor
x(m-n)=-2-a
divide by (m-n)
x=(-2-a)/(m-n)
that said
check the first picture below.
those are the table of values we get for both, at 1 through 5 seconds.
why are both functions equal between the 4th and 5th second?
h(t) is the distance from the ground, check the second picture below, that's pretty much the graph of h(t) usually.
g(t) is the height of the object from the ground.
whilst g(t) is ever increasing, h(t) goes up, reaches a peak point, the vertex, and then goes back down, on its way down, it drops to 69 and then to 0 at the 5th second, however, between 69 and 0, it dropped first to 31 at some time, and then 30, then 29, then 27, then 25.8 and so on till it got to 0.
one of those values between 69 and 0, will match a value between 25.8 and 31.
what does all that mean in this context?
it means that at some point the baseball was at a height predicted g(t) as well as by h(t).